@inbook{895fa369a16f468389ea9086fe63575d,
title = "On Pattern-Avoiding Fishburn Permutations",
abstract = "The class of permutations that avoid the bivincular pattern (231, {1}, {1}) is known to be enumerated by the Fishburn numbers. In this paper, we call them Fishburn permutations and study their pattern avoidance. For classical patterns of size 3, we give a complete enumerative picture for regular and indecomposable Fishburn permutations. For patterns of size 4, we focus on aWilf equivalence class of Fishburn permutations that are enumerated by the Catalan numbers. In addition, we also discuss a class enumerated by the binomial transform of the Catalan numbers and give conjectures for other equivalence classes of pattern-avoiding Fishburn permutations.",
author = "Gil, {Juan B.} and Weiner, {Michael D.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-57050-7_25",
language = "English (US)",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "431--446",
booktitle = "Trends in Mathematics",
address = "Germany",
}